What is the Greatest Common Factor of 5088 and 5102?

Greatest common factor (GCF) of 5088 and 5102 is 2.

GCF(5088,5102) = 2

We will now calculate the prime factors of 5088 and 5102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5088 and 5102.

How to find the GCF of 5088 and 5102?

We will first find the prime factorization of 5088 and 5102. After we will calculate the factors of 5088 and 5102 and find the biggest common factor number .

Step-1: Prime Factorization of 5088

Prime factors of 5088 are 2, 3, 53. Prime factorization of 5088 in exponential form is:

5088 = 2⁵ × 3¹ × 53¹

Step-2: Prime Factorization of 5102

Prime factors of 5102 are 2, 2551. Prime factorization of 5102 in exponential form is:

5102 = 2¹ × 2551¹

Step-3: Factors of 5088

List of positive integer factors of 5088 that divides 5088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544

Step-4: Factors of 5102

List of positive integer factors of 5102 that divides 5088 without a remainder.

1, 2, 2551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5088 and 5102. The biggest common factor number is the GCF number.
So the greatest common factor 5088 and 5102 is 2.

Also check out the Least Common Multiple of 5088 and 5102